9645731694000 has 640 divisors, whose sum is σ = 36948282658560. Its totient is φ = 2396897280000.

The previous prime is 9645731693971. The next prime is 9645731694007. The reversal of 9645731694000 is 4961375469.

9645731694000 is a `hidden beast` number, since 9 + 6 + 4 + 5 + 73 + 169 + 400 + 0 = 666.

It is a super-2 number, since 2×9645731694000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9645731694007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92665984 + ... + 92770016.

It is an arithmetic number, because the mean of its divisors is an integer number (57731691654).

Almost surely, 2^{9645731694000} is an apocalyptic number.

9645731694000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9645731694000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18474141329280).

9645731694000 is an abundant number, since it is smaller than the sum of its proper divisors (27302550964560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9645731694000 is a wasteful number, since it uses less digits than its factorization.

9645731694000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104183 (or 104161 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 9645731694000 in words is "nine trillion, six hundred forty-five billion, seven hundred thirty-one million, six hundred ninety-four thousand".